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Finding the Fourth Proportional to 414,092.76, 571,468.26 and 232,861.74

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Solution

The fourth proportional to 414,092.76, 571,468.26 and 232,861.74 is: 321,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,092.76 : 571,468.26 = 232,861.74 : x
  2. Step 2: Convert to fraction form
    414,092.76/571,468.26 = 232,861.74/x
  3. Step 3: Cross multiply
    414,092.76x = 571,468.26 × 232,861.74
  4. Step 4: Simplify right side
    414,092.76x = 133,073,093,378.37
  5. Step 5: Solve for x
    x = 133,073,093,378.37/414,092.76
  6. Step 6: Final answer
    x = 321,360.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.